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Finding the Fourth Proportional to 121,170, 181,741.08 and 32,430.43

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Solution

The fourth proportional to 121,170, 181,741.08 and 32,430.43 is: 48,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,170 : 181,741.08 = 32,430.43 : x
  2. Step 2: Convert to fraction form
    121,170/181,741.08 = 32,430.43/x
  3. Step 3: Cross multiply
    121,170x = 181,741.08 × 32,430.43
  4. Step 4: Simplify right side
    121,170x = 5,893,941,373.06
  5. Step 5: Solve for x
    x = 5,893,941,373.06/121,170
  6. Step 6: Final answer
    x = 48,641.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.